A296665 Row sums of A296666.

1, 4, 20, 96, 444, 2000, 8840, 38528, 166124, 710256, 3016056, 12736064, 53530840, 224107936, 935062544, 3890018816, 16141765964, 66829954736, 276135664664, 1138932645056, 4690042582664, 19285299964256, 79196366286704, 324835930747136, 1330905207444344

Offset: 0

Author

Peter Luschny, Dec 19 2017

Keywords

• nonn

Crossrefs

Cf. A296666, bisection of A296663.

Programs

Maple

a := n -> 4^n*((2*(n + 1)*GAMMA(n + 1/2))/(sqrt(Pi)*GAMMA(n + 1)) - 1);
seq(a(n), n=0..24);

Formula

a(n) = 4^n*((2*(n + 1)*Gamma(n + 1/2))/(sqrt(Pi)*Gamma(n + 1)) - 1).

a(n) ~ 4^n*((2*n + 7/4)/sqrt(n*Pi) - 1).